Question

How do you write the fraction $\dfrac{2}{8}$ in simplest form?

Answer 1

Hint: Whenever they give any fraction number and ask us to find the simplest form of that then we need to find a common factor which divides both numbers that are both the numerator and denominator with zero remainders, repeat the same until no common factor except $1$ is achieved, which will be the required simplest form for a given fraction.

Complete step-by-step answer:
Here in the question they have given a fraction number that is $\dfrac{2}{8}$ and are asking us to find the simplest form of it. Whenever the simplest form is asked first we need to find the common factor which is nothing but the number which divides both the numerator value and the denominator value with zero remainders. Here in this case the numerator value is nothing but the upper part of the fraction that is $2$ and the denominator value is nothing but the lower part of the fraction that is $8$.
Therefore now we need to find the factor which divides the number $2$ and $8$ with zero remainders. As both $2$ and $8$ are even numbers we can divide these by $2$ which gives the result with zero remainders.
Therefore, we get
$\dfrac{2}{8} = \dfrac{{\left( {2 \div 2} \right)}}{{\left( {8 \div 2} \right)}}$
$ \Rightarrow \dfrac{2}{8} = \dfrac{1}{4}$

Now, we do not have any common factors which divides the numbers $1$ and $4$ except $1$ , we can say that $\dfrac{1}{4}$ is the simplest form of $\dfrac{2}{8}$.

Note: Here in this question they have directly given the fraction and asked us to write the simplest form of it but sometimes they may give decimal numbers or the percentage number and ask us to find the simplest fraction. Whenever finding the simplest fraction try to reduce as much as possible so that we get the correct answer.